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r""" 

Algebraic combinatorics 

======================= 

 

Quickref 

-------- 

 

.. TODO:: write it! 

 

Thematic tutorials 

------------------ 

 

.. TODO:: get Sphinx to create those cross links properly 

 

- `Algebraic Combinatorics in Sage <../../../../thematic_tutorials/algebraic_combinatorics.html>`_ 

- `Lie Methods and Related Combinatorics in Sage <../../../../thematic_tutorials/lie.html>`_ 

- `Linear Programming (Mixed Integer) <../../../../thematic_tutorials/linear_programming.html>`_ 

 

Enumerated sets of combinatorial objects 

---------------------------------------- 

 

- :ref:`sage.combinat.catalog_partitions` 

- :class:`~sage.combinat.gelfand_tsetlin_patterns.GelfandTsetlinPattern`, :class:`~sage.combinat.gelfand_tsetlin_patterns.GelfandTsetlinPatterns` 

- :class:`~sage.combinat.knutson_tao_puzzles.KnutsonTaoPuzzleSolver` 

 

Combinatorial Hopf Algebras 

--------------------------- 

 

- :ref:`sage.combinat.sf` 

- :ref:`sage.combinat.ncsf_qsym` 

- :ref:`sage.combinat.schubert_polynomial` 

- :ref:`sage.combinat.ncsym` 

- :ref:`sage.combinat.grossman_larson_algebras` 

 

Groups and Algebras 

------------------- 

 

- :ref:`Catalog of algebras <sage.algebras.catalog>` 

- :ref:`Groups <sage.groups.groups_catalog>` 

- :class:`SymmetricGroup`, :class:`CoxeterGroup`, :class:`WeylGroup` 

- :class:`~sage.combinat.diagram_algebras.PartitionAlgebra` 

- :class:`~sage.algebras.iwahori_hecke_algebra.IwahoriHeckeAlgebra` 

- :class:`~sage.combinat.symmetric_group_algebra.SymmetricGroupAlgebra` 

- :class:`~sage.algebras.nil_coxeter_algebra.NilCoxeterAlgebra` 

- :class:`~sage.algebras.affine_nil_temperley_lieb.AffineNilTemperleyLiebTypeA` 

- :ref:`sage.combinat.descent_algebra` 

- :ref:`sage.combinat.diagram_algebras` 

 

Combinatorial Representation Theory 

----------------------------------- 

 

- :ref:`sage.combinat.root_system` 

- :ref:`sage.combinat.crystals` 

- :ref:`sage.combinat.rigged_configurations` 

- :ref:`sage.combinat.cluster_algebra_quiver` 

- :class:`~sage.combinat.kazhdan_lusztig.KazhdanLusztigPolynomial` 

- :class:`~sage.combinat.symmetric_group_representations.SymmetricGroupRepresentation` 

- :ref:`sage.combinat.yang_baxter_graph` 

- :ref:`sage.combinat.hall_polynomial` 

 

Operads and their algebras 

-------------------------- 

 

- :ref:`sage.combinat.free_dendriform_algebra` 

- :ref:`sage.combinat.free_prelie_algebra` 

- :ref:`sage.algebras.free_zinbiel_algebra` 

"""